Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.

7, -11, and 2 + 6i please i need help urgently

Question

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.

7, -11, and 2 + 6i   please i need help urgently

cwrw238 · Answer

2 factors are
(x - 7) and ( x + 11)
complex roots come in conjugate pairs so a 4th root will be  2 - 6i

anonymous · Answer

and its just (2+6i)(2-6i)?

anonymous · Answer

@cwrw238  ?

cwrw238 · Answer

no - sorry i had to go away for a minute and my computer is very slow

cwrw238 · Answer

it factorizes to (x - 7)(x + 11)(x - (2 + 6i](x - (2 - 6i)]
the last 2 factors expand to  x^2 - 4x + 40)

so we have
(x - 7)(x + 11)(x^2 - 4x + 40)

cwrw238 · Answer

expanding this will give a quartic polynomial  (standard form)

anonymous · Answer

thank you very much

cwrw238 · Answer

yw